# Category:Simple Groups

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This category contains results about **Simple Groups**.

A group $G$ is **simple** if and only if it has only $G$ and the trivial group as normal subgroups.

That is, if and only if the composition length of $G$ is $1$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### S

- Sporadic Simple Groups (empty)

## Pages in category "Simple Groups"

The following 12 pages are in this category, out of 12 total.